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Class 12 · Mathematics · Expert
→On integers, (aRb) is defined when (a-b) is divisible by (7). Why is this relation transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,2),(2,4),(4,3),(1,4),(2,3)}). Which ordered pair must be added to make it transitive?
Class 12 · Mathematics · Expert
→On A={1,2,3,4}, let R={(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}. What is the nature of R?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,1),(1,2),(2,2),(3,3),(4,4),(2,1)}). Is this relation transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (R={(a,b):a) is less than (b) and (b-a) is even(}). What is the nature of this relation?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,2),(2,3),(3,4),(1,3),(2,4),(1,4)}). Why is this relation transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(a,b):a+b\text{ is odd}}). This relation is not transitive. Which is the correct counterexample?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (R={(a,b):a<b\text{ and }a,b\text{ are both odd}}). What is the nature of this relation?
Class 12 · Mathematics · Expert
→On a set of lines, (lRm) is defined when line (l) is parallel to line (m). For distinct lines in the same plane, why is this relation considered transitive?
Class 12 · Mathematics · Expert
→On the set of students in a class, (aRb) is defined when student (a) has the same age as student (b). What is the nature of this relation?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(2,2),(4,4),(1,1)}). Which check correctly supports transitivity?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5,6}), (R={(a,b):a\equiv b \pmod{2}}). What is the nature of this relation?
Class 12 · Mathematics · Expert
→On integers, (aRb) is defined when (a \equiv b \pmod{5}). Is this relation transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2)}). Why is it not transitive?
Class 12 · Mathematics · Expert
→On (A={2,3,4,6,12}), (aRb) is defined when (a) divides (b). Which statement correctly proves transitivity?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(a,b):a\le b\text{ and }b-a\le 1}). What is the nature of this relation?
Class 12 · Mathematics · Expert
→On real numbers, (aRb) is defined when (a<b+1). Is this relation transitive?
Class 12 · Mathematics · Expert
→On real numbers, (aRb) is defined when (|a|\le |b|). Is this relation transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}). What is the nature of this relation?
Class 12 · Mathematics · Expert
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